Abstract: A circuit includes a signal processing circuit for accepting an input and for generating a set of outputs. The input is provided in an input range that has a set of representative values, and each output represents a measure of an association of the input with one or more of the representative values. The signal processing circuit includes a group of output sections, each output section being responsive to the input of the signal processing circuit. Each output section includes one or more sigmoid generators. Each sigmoid generator is responsive to an input of the output section to generate an output that represents a sigmoid function of the input of the output section. Each output section also includes a circuitry for combining the outputs of the one or more sigmoid generators to form one of the set of outputs of the signal processing circuit. An input transformation circuit is coupled to the plurality of output sections.

Abstract: Some general aspects relate to systems and methods of analog computation using numerical representation with uncertainty. For example, a specification of a group of variables is accepted, with each variable having a set of at least N possible values. The group of variables satisfies a set of one or more constraints, and each variable is specified as a decomposition into a group of constituents, with each constituent having a set of M (e.g., M<N) possible constituent values that can be determined based on the variable values. The method also includes forming a specification for configuring a computing device that implements a network representation of the constraints based on the specification of the group of variables. The network representation includes a first set of nodes corresponding to the groups of constituents, a second set of nodes corresponding to the set of constraints, and interconnections between the first and the second sets of nodes for passing continuous-valued data.

Abstract: Microphone stages in a microphone array may be coupled together in a daisy chain. Each stage may include a microphone, an analog to digital converter, a decimation unit, a receiver, an adder, and a transmitter. The converter may convert analog audio microphone signals into digital codes that may be decimated. The adder may add decimated digital codes in each stage to a cumulative sum of decimated digital codes from prior stages. This new sum may be transmitted to the next microphone stage, where the adder may add the decimated digital codes from that stage to the cumulative sum. A serial interface may be used to connect the transmitters and receivers of each of the stages. The serial interface may be used to transmit the cumulative sum of decimated digital codes between the stages. The serial interface may also be used to transmit configuration data between the stages.

Abstract: A processor includes a first memory module for storing a first set of storage values each representing a respective input, and a second memory module for storing a second set of storage values in analog form. An analog module is coupled to the first and the second memory modules. The analog module is configured to, in each operation cycle of at least one iteration, update at least some of the second set of storage values based on the first and the second sets of storage values. An output module is for generating a set of outputs from at least some of the second set of storage values.

Abstract: A storage device includes a storage array having a group of storage elements. Each storage element can written to a discrete set of physical states. A read circuit selects one or more storage elements and generates, for each selected storage element, an analog signal representative of the physical state of the selected storage element. A signal processing circuit processes the analog signal to generate a plurality of outputs, with each output representing a degree of an association of the selected storage element with a different subset of one or more of the discrete set of physical states.

Abstract: An approach to converting an analog value based on a partition of an input range produces probabilities that the input is found within each of the regions based, for example, on a noisy version of the input. In some examples, iterative and/or pipelined application of comparison circuitry is used to accumulate a set of analog representations of the output probabilities. The circuitry can be adapted or configured according to the characteristics of the degradation (e.g., according to the variance of an additive noise) and/or prior information about the distribution of the clean input (e.g., a distribution over a discrete set of exemplar values, uniformly distributed etc.).

Abstract: An approach to signal conversion adapts the signal conversion process, for example, by adapting or configuring signal conversion circuitry, according to inferred characteristics (e.g., probability distribution of value) of a signal being converted. As an example, an analog-to-digital converter (ADC) may be adapted so that its accuracy varies across the range of possible input signal values in such a way that on average the digital signal provides a higher accuracy than had the accuracy remained fixed. In another example, models (and corresponding inference circuitry) of both an input signal process and of a quantization process are used to improve signal conversion accuracy.

Abstract: In an aspect, in general, a programmable computation device performs computations of an inference task specified by a plurality of variables and a plurality of factors, each factor being associated with a subset of the variables. The device includes one or more processing elements. Each processing element includes a first storage for a definition of a factor, a second storage for data associated with the inputs and/or outputs of at least some of the computations, and one or more computation units coupled to the first storage and the second storage for performing a succession of parts of the at least some of the computations that are associated with a factor, the succession of parts defined by data in the storage for the definition of the factor.

Abstract: An approach to converting an analog value based on a partition of an input range produces probabilities that the input is found within each of the regions based, for example, on a noisy version of the input. In some examples, iterative and/or pipelined application of comparison circuitry is used to accumulate a set of analog representations of the output probabilities. The circuitry can be adapted or configured according to the characteristics of the degradation (e.g., according to the variance of an additive noise) and/or prior information about the distribution of the clean input (e.g., a distribution over a discrete set of exemplar values, uniformly distributed etc.).

Abstract: The process of implementing a belief propagation network in software and/or hardware can begin with a factor-graph-designer who designs a factor graph that implements that network. A development system provides a user with a way to specify a factor graph at a high or abstract level, and then solve the factor graph, or make an instance of the factor graph in software and/or hardware based on the specification. Factor graphs enable designers to create a graphical model of complicated belief propagation networks such as Markov chains, hidden Markov models, and Bayesian networks.

Abstract: A storage device includes a storage array having a group of storage elements. Each storage element can written to a discrete set of physical states. A read circuit selects one or more storage elements and generates, for each selected storage element, an analog signal representative of the physical state of the selected storage element. A signal processing circuit processes the analog signal to generate a plurality of outputs, with each output representing a degree of an association of the selected storage element with a different subset of one or more of the discrete set of physical states.

Abstract: A circuit implementing a soft logical processing network includes an interconnection of analog processing elements, which can include soft logic gates, the soft logic gates including one or more soft logic gates. In some examples, each of the soft logic gates include multiple circuit parts, with each part including an input configured to accept a voltage signal representation of a soft logical quantity, and a conversion section configured to use the accepted voltage representation to form a corresponding current signal. The current signals are combined to form a signal representation of the output of the gate.

Abstract: A storage device includes a storage array having a group of storage elements. Each storage element can written to a discrete set of physical states. A read circuit selects one or more storage elements and generates, for each selected storage element, an analog signal representative of the physical state of the selected storage element. A signal processing circuit processes the analog signal to generate a plurality of outputs, with each output representing a degree of an association of the selected storage element with a different subset of one or more of the discrete set of physical states.

Abstract: A processor includes a first memory module for storing a first set of storage values each representing a respective input, and a second memory module for storing a second set of storage values in analog form. An analog module is coupled to the first and the second memory modules. The analog module is configured to, in each operation cycle of at least one iteration, update at least some of the second set of storage values based on the first and the second sets of storage values. An output module is for generating a set of outputs from at least some of the second set of storage values.

Abstract: A processor implements a network of functional nodes and communication paths between the nodes. The processor includes a plurality of circuit implementations of the functional nodes of the processor; and a plurality of signal paths implementing the communication paths linking the circuit implementations of the nodes. At least some of the signal paths are configured to pass signal values represented according to temporal patterns of signal levels on the signal paths. The processor also includes a plurality of circuit components for conversion between a signal value represented as a signal level (e.g., voltage or current level) and a signal value represented as a temporal pattern.

Abstract: Methods for applications such as signal processing, analysis, and coding/decoding replace digital signal processing elements with analog components are implemented by combining soft logic gates and filters, permitting the functionality of complex finite state machines to be implemented.

Abstract: A circuit implementing a soft logical processing network includes an interconnection of analog processing elements, which can include soft logic gates, for instance soft Equals gates and soft XOR gates. In some examples, each of the soft logic gates include multiple circuit parts, with each part including an input configured to accept a voltage signal representation of a soft logical quantity, and a conversion section configured to use the accepted voltage representation to form a corresponding current signal. The current signals are combined to form a signal representation of the output of the gate.

Abstract: A circuit implementing a soft logical processing network includes an interconnection of analog processing elements, which can include soft logic gates, the soft logic gates including one or more soft logic gates. In some examples, each of the soft logic gates include multiple circuit parts, with each part including an input configured to accept a voltage signal representation of a soft logical quantity, and a conversion section configured to use the accepted voltage representation to form a corresponding current signal. The current signals are combined to form a signal representation of the output of the gate.

Abstract: A circuit implementing a soft logical processing network includes an interconnection of analog processing elements, which can include soft logic gates, for instance soft Equals gates and soft XOR gates. In some examples, each of the soft logic gates include multiple circuit parts, with each part including an input configured to accept a voltage signal representation of a soft logical quantity, and a conversion section configured to use the accepted voltage representation to form a corresponding current signal. The current signals are combined to form a signal representation of the output of the gate.

Abstract: A circuit includes a signal processing circuit for accepting an input and for generating a set of outputs. The input is provided in an input range that has a set of representative values, and each output represents a measure of an association of the input with one or more of the representative values. The signal processing circuit includes a group of output sections, each output section being responsive to the input of the signal processing circuit. Each output section includes one or more sigmoid generators. Each sigmoid generator is responsive to an input of the output section to generate an output that represents a sigmoid function of the input of the output section. Each output section also includes a circuitry for combining the outputs of the one or more sigmoid generators to form one of the set of outputs of the signal processing circuit. An input transformation circuit is coupled to the plurality of output sections.